Kerr black hole in the formalism of isolated horizons
arXiv:2404.09887 · doi:10.1103/PhysRevD.109.084029
Abstract
We revise the work of Scholtz, Flandera and Gürlebeck [Kerr-Newman black hole in the formalism of isolated horizons, Phys. Rev. D 96, 064024 (2017)]. We cast the Kerr metric explicitly in the form suitable for the framework of isolated horizons. We proceed in a geometrical fashion and are capable to provide the results in a compact closed manner, without any unevaluated integrals. We also discuss the uniqueness and drawbacks of this construction. We suggest a new vector field to generate the null geodesic foliation.
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